First you have to figure out how many times 2/3 goes into 5 1/3, which is 8 times
meaning that she can make 8 shelves!
Answer:
4x + 4y
Step-by-step explanation:
<u>Step 1: Distribute</u>
4(x + y)
(4 * x) + (4 * y)
(4x) + (4y)
<em>4x + 4y</em>
<em />
Answer: 4x + 4y
We turn -5,12 into polar coordinates. It's a Pythagorean Triple so
r = 13 Ф=arctan(-12/5) + 180° ( in the second quadrant )
so -5 = 13 cos Ф, 12 = 13 sin Ф
12 sin x - 5 cos x = 6.5
13 sinФ sin x + 13 cos Ф cos x = 6.5
13 cos(x - Ф) = 6.5
cos(x - Ф) = 1/2
cos(x - Ф) = cos 60°
x - Ф = ± 60° + 360° k integer k
x = Ф ± 60° + 360° k
x = 180° + arctan(-12/5) ± 60° + 360° k
That's the exact answer;
x ≈ 180° - 67.38° ± 60° + 360° k
x ≈ 122.62° ± 60° + 360° k
x ≈ { 62.62°, 182.62°} + 360° k, integer k
